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Simplifying -0.1z + -1.4 = -0.4z + -0.2 Reorder the terms: -1.4 + -0.1z = -0.4z + -0.2 Reorder the terms: -1.4 + -0.1z = -0.2 + -0.4z Solving -1.4 + -0.1z = -0.2 + -0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.4z' to each side of the equation. -1.4 + -0.1z + 0.4z = -0.2 + -0.4z + 0.4z Combine like terms: -0.1z + 0.4z = 0.3z -1.4 + 0.3z = -0.2 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 -1.4 + 0.3z = -0.2 + 0.0 -1.4 + 0.3z = -0.2 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.3z = -0.2 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.3z = -0.2 + 1.4 0.3z = -0.2 + 1.4 Combine like terms: -0.2 + 1.4 = 1.2 0.3z = 1.2 Divide each side by '0.3'. z = 4 Simplifying z = 4
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